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Finding the Fourth Proportional to 2,613.94, 3,913.89 and 1,378.78

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Solution

The fourth proportional to 2,613.94, 3,913.89 and 1,378.78 is: 2,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.94 : 3,913.89 = 1,378.78 : x
  2. Step 2: Convert to fraction form
    2,613.94/3,913.89 = 1,378.78/x
  3. Step 3: Cross multiply
    2,613.94x = 3,913.89 × 1,378.78
  4. Step 4: Simplify right side
    2,613.94x = 5,396,393.25
  5. Step 5: Solve for x
    x = 5,396,393.25/2,613.94
  6. Step 6: Final answer
    x = 2,064.47

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